Chapter 08 - Financial Statement Analysis
PROBLEMS
Income statement
1. Singular Corp. has the following income statement data:
Sales
2006
$500,000
Gross profit
Selling and administrative expense
Interest expense
161,300
45,200
15,200
2007
$700,000
205,000
74,300
29,100
Net income (after these and other expenses) 44,100 a. Compute the ratio of each of the last four items to sales for 2006 and 2007.
45,600 b. Based on your calculations, is the company improving or declining in its performance?
8-1.
a) Singular Corp.
Gross profit/Sales
2006
32.26%
Selling and administrative expense/Sales 9.04%
2007
29.29%
10.61%
Interest expense/Sales
Net income/Sales
3.04%
8.82%
4.16%
6.51% b) The company is not performing as well in 2007 as it did in 2006.
The “gross profit margin” has gone down; “selling and administrative expense” as well as “interest expenses as a percent of sales” has gone up.
As would be expected based on the above, net income to sales have gone down.
Balance sheet
2. A company has $200,000 in inventory, which represents 20 percent of current assets.
Current assets represent 50 percent of total assets. Total debt represents 30 percent of total assets. What is stockholders’ equity?
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Chapter 08 - Financial Statement Analysis
8-2. Inventory of $200,000 is 20% of current assets. This means current assets are
$1,000,000.
Current assets of $1,000,000 are 50 percent of total assets. This means total assets are
$2,000,000.
Total debt represents 30 percent of total assets. This means total debt is $600,000.
The balance of total assets must be financed with stockholders’ equity. This means stockholders’ equity is
$1,400,000.
Total assets − total debt = Stockholders’ equity
$2,000,000 − $600,000 = $1,400,000
Du Pont analysis
3. Given the following financial data: Net income/Sales = 4 percent; Sales/Total assets = 3.5 times; Debt/Total assets = 60 percent; compute: a. Return on assets. b. Return on equity.
8-3.
a) Return on assets

Net Income
Sales

Sales
Total assets
14%

4%

3.5
b) Return on equity

Return on Assets
35%

14%
Du Pont analysis
4. Explain why in problem 3 return on equity was so much higher than return on assets.
8-4. Return on equity was so much higher than return on assets because the firm had heavy debt in its capital structure. (60 percent of assets). This means that the firm has a relatively small equity base against which to generate income which leads to a higher return on equity.
Du Pont analysis
5. A firm has assets of $1,800,000 and turns over its assets 2.5 times per year. Return on assets is 20 percent. What is its profit margin (return on sales)?
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Chapter 08 - Financial Statement Analysis
8-5.
Net Income
Sales



$360, 000



$4, 500, 000
Net Income / Sales

$360, 000 / $4, 500, 000

8%
Du Pont analysis
6. A firm has assets of $1,800,000 and turns over its assets 1.5 times per year. Return on assets is 25 percent. What is its profit margin (return on sales)?
8-6.
Net Income



$450, 000
Sales



$2, 700, 000
Net Income / Sales
(Profit Margin)

$450, 000 / $2, 700, 000

16.67%
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Chapter 08 - Financial Statement Analysis
Du Pont analysis
7. A firm has a return on assets of 12 percent and a return on equity of 18 percent. What is the debt-to-total assets ratio?
8-7.
Return on equity

Return on Assets
18%

12%
18% (1 X)

12%
18% 18%X

12%

18%X
 
6%
X

33%
The debt/total assets ratio is 33%.
Proof
Return on equity

12%

12%
(1 33) .67

18%
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Chapter 08 - Financial Statement Analysis
Du Pont analysis
8. In the year 2007, the average firm in the S&P 500 Index had a total market value of fives times stockholders’ equity (book value). Assume a firm had total assets of $10 million, total debt of $6 million, and net income of $600,000. a. What is the percent return on equity? b. What is the percent return on total market value? Does this appear to be an adequate return on the actual market value of the firm?
8-8.
a) Return on equity

Net Income $600, 000
Stockholders ' Equity $4, 000, 000

15%
Total assets

Total debt
Stockholders 'equity
$10, 000, 000
6, 000, 000
4, 000, 000 or
Return on Assets
Return on equity


$600, 000 / $10, 000, 000
6%

15%
.40
b) Return on Market Value

Net Income
Total Market Value
Total Market Value
 
$20, 000, 000
 
Return on market value

$600, 000
$20, 000, 000

3%
The return on total market value of three percent appears to the small, particularly when investors can get a higher rate on certificates of deposit (CDs).
The intend of this problem is to show it is not only return on stockholders’ equity that is important, but also what the firm can earn on its total value in the market. It is the latter term that represents the true value of the firm to stockholders.
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Chapter 08 - Financial Statement Analysis
General ratio analysis
9. A firm has the following financial data:
Current assets $600,000
Fixed assets 400,000
Current liabilities 300,000
Inventory 200,000
If inventory increases by $100,000, what will be the impact on the current ratio, the quick ratio, and the net-working-capital-to-total-assets ratio? Show the ratios before and after the changes.
8-9.
Before After
Current ratio
$600, 000
$300, 000

2X
$700, 000
$300, 000

2.33X
Quick ratio
$400, 000
$300, 000

1.33X
$400, 000
$300, 000

1.33X
Net working capital to total assets
 
$300, 000
$1, 000, 000

30%
$400, 000
$1,100, 000

36.36%
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Chapter 08 - Financial Statement Analysis
General ratio analysis
10. Given the following financial data, compute: a. Return on equity. b. Quick ratio. c. Long-term debt to equity. d. Fixed-charge coverage.
Assets:
Cash ...........................................................................................
Accounts receivable ..................................................................
Inventory ...................................................................................
Fixed assets ...............................................................................
Total assets ......................................................................................
Liabilities and stockholders’ equity:
Short-term debt..........................................................................
Long-term debt ..........................................................................
Stockholders’ equity..................................................................
Total liabilities and stockholders’ equity ........................................
Income before fixed charges and taxes ...........................................
Interest payments ............................................................................
Lease payment .................................................................................
Taxes (35 percent tax rate) ..............................................................
Net income (after-taxes) ..................................................................
$ 2,500
3,000
6,500
8,000
$20,000
$ 3,000
2,000
15,000
$20,000
$ 4,400
800
400
1,120
$ 2,080
8-10.
a)
Net income

$2, 080
Stockholders 'equity $15, 000

13.87% b)
Cash Accounts receivable
Short
 term debt

$5, 500
3, 000

1.83X
c)
Long
 term debt

$2, 000
Stockholders 'equity 15, 000

13.33% d)
Income before fixed charges & taxes


$4, 400


$4, 400
$1, 200

3.67X
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Chapter 08 - Financial Statement Analysis
Coverage of sinking fund
11. Assume in part d of problem 10 that the firm had a sinking fund payment obligation of
$200. How much before-tax income is required to cover the sinking-fund obligation? Would lower tax rates increase or decrease the before-tax income required to cover the sinking fund?
8-11.
Before-tax income required =
After - tax payment

$200

$200
.65

$307.69
Lower tax rates would decrease the amount of before-tax income required to cover the sinking fund. As an example, reduce the tax rate to 20 percent and recomputed the answer.
$200 /(1 0.2)

$200 / 0.8

$250
Return on equity
12. In problem 10, if total debt were increased to 50 percent of assets and interest payments went up by $300, what would be the new value for return on equity?
8-12.
Income before fixed charges and taxes
Lease payments
Taxes (35% tax rate)
Net Income (after taxes)
$4, 400

1,100

400

1, 015
$1,885
Net income

$1,885
Stockholders 'equity $10, 000

18.85%
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Chapter 08 - Financial Statement Analysis
Stock price ratios
13. Assume the following financial data:
Short-term assets .............................................................................. $300,000
Long-term assets .............................................................................. 500,000
Total assets ................................................................................. $800,000
Short-term debt................................................................................. $200,000
Long-term debt .................................................................................
Total liabilities ...........................................................................
168,000
368,000
Common stock ................................................................................. 200,000
Retained earnings .............................................................................
Total stockholders’ equity ..........................................................
232,000
432,000
Total liabilities and stockholders’ equity ......................................... $800,000
Total earnings (after-tax).................................................................. $ 72,000
Dividends per share ..........................................................................
Stock price ........................................................................................
Shares outstanding ...........................................................................
$ 1.44
$ 45
24,000 a. Compute the P/E ratio (stock price to earnings per share). b.
Compute the book value per share (note that book value equals stockholders’ equity). c. Compute the ratio of stock price to book value per share. d. Compute the dividend yield. e. Compute the payout ratio.
8-13.
a) P / E ratio

Pr ice
EPS
EPS

Earnings

$72, 000
Shares 24, 000

$3
P / E

$45
$3

15X b) Book value per share

Stockholders 'equity
Shares

$432, 000
24, 000

$18
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Chapter 08 - Financial Statement Analysis c)Stock price to book value

$45

$18
2.5X
d) Dividend yield

Dividends per share
Common stock price

$1.44
$45

3.2% e) Payout ratio

Dividends per share
Earnings per share

$1.44
$3.00

48%
Tax considerations and financial analysis
14. Referring to problem 13: a. Compute after-tax return on equity. b. If the tax rate were 40 percent, what could you infer the value of before-tax income was? c. Now assume the same before-tax income computed in part b , but a tax rate of 25 percent; recompute after-tax return on equity (using the simplifying assumption that equity remains constant). d. Assume the taxes in part c were reduced largely as a result of one-time nonrecurring tax credits. Would you expect the stock value to go up substantially as a result of the higher return on equity?
8-14.
a)
Net income

$72, 000
Stockholders 'equity $432, 000

16.67% b) Before - tax income

After - tax income

$72, 000

$120, 000 c) Before - tax income
Taxes (25%)
After - tax income
120, 000
30, 000
$90, 000
Net income

$90, 000
Stockholders 'equity 432, 000

20.83%
8-10

Chapter 08 - Financial Statement Analysis d) No. Since the increased return on stockholders’ equity is a one time event, stockholders will not forecast a permanently higher income stream and increase valuation substantially.
Divisional analysis
15. The Multi-Corporation has three different operating divisions. Financial information for each is as follows:
Clothing
Sales ............................................. $3,000,000
Operating income ......................... 330,000
Net income (A/T) ......................... 135,000
Appliances
$15,000,000
1,250,000
870,000
Sporting Goods
$25,000,000
3,200,000
1,400,000
Assets ........................................... 1,200,000 10,000,000 a. Which division provides the highest operating margin? b. Which division provides the lowest after-tax profit margin? c. Which division has the lowest after-tax return on assets? d. Compute net income (after-tax) to sales for the entire corporation.
8,000,000 e. Compute net income (after-tax) to assets for the entire corporation. f. The vice president of finance suggests the assets in the Appliances division be sold off for
$10 millions and redeployed in Sporting Goods. The new $10 million in Sporting Goods will produce the same after-tax return on assets as the current $8 million in that division.
Recompute net income to total assets for the entire corporation assuming the above suggested change. g. Explain why Sporting Goods, which has a lower return on sales than Appliances, has such a positive effect on return on assets.
8-15.
Clothing Appliances Sporting Goods a) Operating income/sales 11.00% 8.33% 12.8% b) Net income/sales c) Net income/assets
4.50%
11.25%
5.80%
8.70%
5.6%
17.5%
Net income d)
Sales (for corporation)
(All values in 000’s)
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Chapter 08 - Financial Statement Analysis
Total net income

Total sales

$2, 405
$43, 000

5.59% e)
Net income
Total assets (for corporation)
(All values in 000 's)
Total net income
Total assets

$135
 
$1, 200 10, 000

8, 000

$2, 405
$19, 200

12.53% f) $10,000,000 from Appliances is redeployed in Sporting Goods at an after-tax return on assets of 17.5 percent. This will mean incremental aftertax income of $1,750,000 for Sporting Goods to replace the $870,000 from Appliances. Total after-tax income will increase by $880,000 to $3,285,000. Net income to total assets for the corporation will now be:
Total net income

$3, 285, 000
Total assets $19, 200, 000

17.11% g) The big advantage that Sporting Goods has over Appliances is a rapid turnover of assets, which leads to a high return on assets despite a relatively low return on sales.
The asset turnover ratio for the Sporting Goods division is 3.125, but only 1.5 for
Appliances.
Approaches to security evaluation
16. Security Analyst A thinks the Collins Corporation is worth 14 times current earnings.
Security Analyst B has a different approach. He assumes that 45 percent of earnings (per share) will be paid out in dividends and the stock should provide a 4 percent current dividend yield. Assume total earnings are $12 million and that 5 million shares are outstanding. a.
Compute the value of the stock based on Security Analyst A’s approach. b.
Compute the value of the stock based on Security Analyst B’s approach. c. Security Analyst C uses the constant dividend valuation model approach presented in
Chapter 7 as Formula 7–5 on page 147 . She uses Security Analyst B’s assumption about dividends (per share) and assigns a growth rate, g , of 9 percent and a required rate of return
( K e
) of 12 percent. Is her value higher or lower than that of the other security analysts?
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Chapter 08 - Financial Statement Analysis
8-16.
a) Security Analyst A
EPS

$12, 000, 000
5, 000, 000

$2.40
b)Security Analyst B
Pr ice

Dividend per share
.04
Dividend per share
 
Pr ice

$1.08
.04

$27 c) P o

D
1
(K e
 g)
It is higher


Combining Du Pont analysis with P/E ratios
17. Sarah Bailey is analyzing two stocks in the semiconductor industry. It is her intention to assign a P/E of 16 to the average firm in the industry. However, she will assign a 20 percent premium to the P/E of a company that uses conservative financing in its capital structure. This is because of the highly cyclical nature of the industry.
Two firms in the industry have the following financial data:
Palo Alto Semiconductors Burr Ridge Semiconductors
Net income/Sales
Sales/Total assets
Debt/Total assets
Earnings
5.0%
2.1

60%
$40 million
4.2%
3.5

30%
$15 million
Shares $16 million $6.25 million a.
Compute return on stockholders’ equity for each firm. Use the Du Pont Method of analysis.
Which is higher? b. Compute earnings per share for each company. Which is higher? c. Applying the 20 percent premium to the P/E ratio of the firm with the more conservative financial structure and the industry P/E ratio of the other firm, which firm has the higher stock price valuation?
8-17.
a) Palo Alto Semiconductors Burr Ridge Semiconductors
Net income/Sales
Sales/total assets
Return on assets
5.0%
2.1

10.5%
4.2%
3.5

14.7%
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Chapter 08 - Financial Statement Analysis
Debt/total assets 60.0% 30.0%
Return on stockholders 'equity
10.5%
(1-60)

26.52%
14.7%
(1-.30)

21.00% b)
Palo Alto Semiconductors is higher (26.52% vs. 21.00%).
Palo Alto Burr Ridge
40 million

$2.50
16 million
$15 million
6.25 million

$2.40
Palo Alto Semiconductors is higher ($2.50 vs. $2.40). c) Burr Ridge is more conservative with a debt ratio of 30% vs. 60% for Palo Alto.
Stock

EPS

Pr ice P / E Ratio
2.50
2.40
 
$40.00
$46.08
Burr Ridge Semiconductors is higher ($46.08 vs. $40.00).
8-14